Aptitude and Reasoning Questions

Q:

A 200 m long train passes a motorcycler, running in the same direction at 12 km/hr, in 15 second and a jeep travelling in the same direction in 20 s. At what speed is the car travelling (length of both the motorcycler and jeep is negligible)?

A) 36 kmph B) 32 kmph
C) 29 kmph D) 24 kmph
 
Answer & Explanation Answer: D) 24 kmph

Explanation:

Let the speed of the train be 'S' kmph

From the given data,

Distance = Length of train = D = 200 mts = 200 x 18/5 kms

Time = 10 sec

given speed of the motorcycler = 12 kmph

Relative speed as they are moving in the same direction = (S - 12) kmph

(S- 12) = 200 x 18515S - 12 = 48S = 60 kmph 

Hence, the speed of the train = S = 60 kmph

Now,

Let the speed of the jeep be 'x' kmph

60 - x = 200 x 1852060 - x = 36x = 60 - 36x = 24 kmph

 

Therefore, the speed of the jeep = x = 24 kmph.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

A) 26 minutes and 18 seconds B) 42 minutes and 36 seconds
C) 45 minutes D) 46 minutes and 12 seconds
 
Answer & Explanation Answer: D) 46 minutes and 12 seconds

Explanation:

L.C.M. of 252, 308 and 198 = 2772.

 

So, A, B and C will again meet at the starting point in 2772 sec. i.e., 46 min. 12 sec.

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Q:

Δ DEF and Δ GHI are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ΔABC to ΔDEF?

A) 5:3 B) 3:5
C) 25:9 D) 9:25
 
Answer & Explanation Answer: A) 5:3

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

A person walking 6/7 of his usual rate is 30 minutes late. What is his usual time ?

A) 2 hrs 50 min B) 3 hrs 25 min
C) 3 hrs D) 2 hrs 5 min
 
Answer & Explanation Answer: C) 3 hrs

Explanation:

Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.
Balance by the distance,
1 x t = (6/7)(t + 30)
7t = 6(t + 30)
we get t as,
t = 180 minutes = 3 hrs.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT
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2 4761
Q:

Jatin,Kamal and Navin are the 3 mountaineers.Jatin is kamals brother.Kamal is navinsbrother .Navin is not Jatin's brother.Therefore,Navin is jatin's brother

A) True B) Probably false
C) False D) Can't say
 
Answer & Explanation Answer: A) True

Explanation:
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Filed Under: Blood Relations

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Q:

If 3a=4b=6c and a+b+c=2729, then a2+b2+c2 =?

A) 81 B) 83
C) 87 D) None of these
 
Answer & Explanation Answer: C) 87

Explanation:

4b=6cb=32c    and   3a=4ba=43b=43(32c)=2c 

a+b+c=2729   2c+32c+c=2729  c=629

 

 a2+b2+c2=(a+b+b)2-2(ab+bc+ca) 

 

=(2729)2-22c×32c+32c×c+c×2c 

 

 =729×29-2×132 c2

= 87

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Q:

The average temperature of Monday to Wednesday was 37 C and of Tuesday to Thursday was 34 C. If the temperature on Thursday was 4/5 th of that of Monday, the temperature on Thursday was ?

A) 35 c B) 36 c
C) 34 c D) 32 c
 
Answer & Explanation Answer: B) 36 c

Explanation:

Monday + Tuesday + Wednesday = 37 x 3 -----------(1)
Tuesday + Wednesday + Thursday = 34 x 3---------(2)
Thursday = 4/5 of Monday ------------------(3)
subtract eqn (1) from (2) we get,
Thursday - Monday = -9
=> Monday - Thursday = 9.......(4)
From (3) & (4), we get

So,Thursday = 36 C

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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Q:

Lycopene, glutathione, and glutamine are powerful antioxidants that neutralize the free radicals that are produced in the body as a result of routine bodily processes. An excess of these free radicals in your system causes rapid aging because they accelerate the rate of cellular damage. Aging is simply the result of this damage. Thus, to slow down aging it is necessary to supplement your diet with these antioxidants on a daily basis. 

 

Which of the following, if true, most seriously undermines the author's contention?

A) Most persons aren't concerned with the effects of aging ...........until it is too late to do anything B) Exercise associated with normal daily activities effectively ...........neutralizes and dissipates the free radicals that are ...........produced as a result of routine bodily processes.
C) Both A and B D) None
 
Answer & Explanation Answer: B) Exercise associated with normal daily activities effectively ...........neutralizes and dissipates the free radicals that are ...........produced as a result of routine bodily processes.

Explanation:

Exercise associated with normal daily activities effectively ...........neutralizes and dissipates the free radicals that are ...........produced as a result of routine bodily processes is true for the above stated arguments

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Filed Under: Deriving Conclusions From Passages
Exam Prep: GRE

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